Self-locking power connectors and circuit breaker assemblies with self-locking power connecters are presented herein. A self-locking power connector is disclosed for connecting a circuit breaker to an electrically conductive bus bar. The connector includes a cage and a cluster of electrically conductive fingers pivotably mounted to the cage. A lower end portion of each finger is configured to straddle the cluster support of the circuit breaker. Spring members bias the lower end portions of the fingers onto the cluster support. A retaining member is operatively engaged with the cage and one or more of the fingers. The retaining member is designed to inhibit a compressive force applied to the upper end portions of the fingers from overcoming the bias of the spring members and thereby separating the lower end portions of the fingers from the cluster support of the circuit breaker.